13251987947584 has 63 divisors (see below), whose sum is σ = 26513005973247. Its totient is φ = 6571986067584.

The previous prime is 13251987947579. The next prime is 13251987947659. The reversal of 13251987947584 is 48574978915231.

The square root of 13251987947584 is 3640328.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3698571457 + ... + 3698575039.

Almost surely, 2^{13251987947584} is an apocalyptic number.

13251987947584 is the 3640328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13251987947584

13251987947584 is an abundant number, since it is smaller than the sum of its proper divisors (13261018025663).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13251987947584 is an frugal number, since it uses more digits than its factorization.

13251987947584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7432 (or 3712 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 73.

The spelling of 13251987947584 in words is "thirteen trillion, two hundred fifty-one billion, nine hundred eighty-seven million, nine hundred forty-seven thousand, five hundred eighty-four".